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Simplifying 17w + -4w + 27 = 4w + -18 Reorder the terms: 27 + 17w + -4w = 4w + -18 Combine like terms: 17w + -4w = 13w 27 + 13w = 4w + -18 Reorder the terms: 27 + 13w = -18 + 4w Solving 27 + 13w = -18 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 27 + 13w + -4w = -18 + 4w + -4w Combine like terms: 13w + -4w = 9w 27 + 9w = -18 + 4w + -4w Combine like terms: 4w + -4w = 0 27 + 9w = -18 + 0 27 + 9w = -18 Add '-27' to each side of the equation. 27 + -27 + 9w = -18 + -27 Combine like terms: 27 + -27 = 0 0 + 9w = -18 + -27 9w = -18 + -27 Combine like terms: -18 + -27 = -45 9w = -45 Divide each side by '9'. w = -5 Simplifying w = -5
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